Interactive Multiobjective Fuzzy Random Linear Programming through Fractile Criteria
We propose an interactive fuzzy decision making method for multiobjective fuzzy random linear programming problems through fractile criteria optimization. In the proposed method, it is assumed that the decision maker has fuzzy goals for not only objective functions but also permissible probability l...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2012/521080 |
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| _version_ | 1832554144211140608 |
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| author | Hitoshi Yano Masatoshi Sakawa |
| author_facet | Hitoshi Yano Masatoshi Sakawa |
| author_sort | Hitoshi Yano |
| collection | DOAJ |
| description | We propose an interactive fuzzy decision making method for multiobjective fuzzy random linear programming problems through fractile criteria optimization. In the proposed method, it is assumed that the decision maker has fuzzy goals for not only objective functions but also permissible probability levels in a fractile optimization model, and such fuzzy goals are quantified by eliciting the corresponding membership functions. Using the fuzzy decision, such two kinds of membership functions are integrated. In the integrated membership space, the satisfactory solution is obtained from among an extended Pareto optimal solution set through the interaction with the decision maker. An illustrative numerical example is provided to demonstrate the feasibility and efficiency of the proposed method. |
| format | Article |
| id | doaj-art-41f8cc111e354cbf9b9f4f4e0ce1e146 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-41f8cc111e354cbf9b9f4f4e0ce1e1462025-02-03T05:52:11ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2012-01-01201210.1155/2012/521080521080Interactive Multiobjective Fuzzy Random Linear Programming through Fractile CriteriaHitoshi Yano0Masatoshi Sakawa1School of Humanities and Social Sciences, Nagoya City University, Nagoya 467-8501, JapanFaculty of Engineering, Hiroshima University, Hiagashi-hiroshima 739-8527, JapanWe propose an interactive fuzzy decision making method for multiobjective fuzzy random linear programming problems through fractile criteria optimization. In the proposed method, it is assumed that the decision maker has fuzzy goals for not only objective functions but also permissible probability levels in a fractile optimization model, and such fuzzy goals are quantified by eliciting the corresponding membership functions. Using the fuzzy decision, such two kinds of membership functions are integrated. In the integrated membership space, the satisfactory solution is obtained from among an extended Pareto optimal solution set through the interaction with the decision maker. An illustrative numerical example is provided to demonstrate the feasibility and efficiency of the proposed method.http://dx.doi.org/10.1155/2012/521080 |
| spellingShingle | Hitoshi Yano Masatoshi Sakawa Interactive Multiobjective Fuzzy Random Linear Programming through Fractile Criteria Advances in Fuzzy Systems |
| title | Interactive Multiobjective Fuzzy Random Linear Programming through Fractile Criteria |
| title_full | Interactive Multiobjective Fuzzy Random Linear Programming through Fractile Criteria |
| title_fullStr | Interactive Multiobjective Fuzzy Random Linear Programming through Fractile Criteria |
| title_full_unstemmed | Interactive Multiobjective Fuzzy Random Linear Programming through Fractile Criteria |
| title_short | Interactive Multiobjective Fuzzy Random Linear Programming through Fractile Criteria |
| title_sort | interactive multiobjective fuzzy random linear programming through fractile criteria |
| url | http://dx.doi.org/10.1155/2012/521080 |
| work_keys_str_mv | AT hitoshiyano interactivemultiobjectivefuzzyrandomlinearprogrammingthroughfractilecriteria AT masatoshisakawa interactivemultiobjectivefuzzyrandomlinearprogrammingthroughfractilecriteria |